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Finding the Third Proportional to 254,520 and 552,784

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Solution

The third proportional to 254,520 and 552,784 is: 1,200,574.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,520 : 552,784 = 552,784 : x
  2. Step 2: Convert to fraction form
    254,520/552,784 = 552,784/x
  3. Step 3: Cross multiply
    254,520x = 552,784 × 552,784
  4. Step 4: Simplify right side
    254,520x = 305,570,150,656
  5. Step 5: Solve for x
    x = 305,570,150,656/254,520
  6. Step 6: Final answer
    x = 1,200,574.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.